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Finding the Fourth Proportional to 64,113.72, 96,160.86 and 22,551

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Solution

The fourth proportional to 64,113.72, 96,160.86 and 22,551 is: 33,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,113.72 : 96,160.86 = 22,551 : x
  2. Step 2: Convert to fraction form
    64,113.72/96,160.86 = 22,551/x
  3. Step 3: Cross multiply
    64,113.72x = 96,160.86 × 22,551
  4. Step 4: Simplify right side
    64,113.72x = 2,168,523,553.86
  5. Step 5: Solve for x
    x = 2,168,523,553.86/64,113.72
  6. Step 6: Final answer
    x = 33,823.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.